Question

In the figure 3,AB||CD,find the value of x​

Answer 1

180°=130° + y°

y° = 50°

180° = 20° + x° + 50°

x° = 110°

Answer 2

Given that AB parallel to DC

Construction - Line AQ passing through C (As shown in the figure)

Now,

In Triangle CQE :-

From Exterior angle property of the triangle we can say that :-

Angle 1 + Angle E = 130

Angle 1 = 130 - 20 =110

(since, Angle E =20 given)

Now,

Since,

AB parallel to DC we have :-

Angle x = Angle 1

(They are corresponding angles)

Hence,

Angle x = 110 degrees.

Thus,

Value of x is 110 degrees.